The matrix 8 -10 A = 10 -2 -10 -7 has 1 = -2 as an eigenvalue with algebraic multiplicity 2, and 2 = 3 as an eigenvalue with algebraic multiplicity 1. The eigenvalue -2 has an associated eigenvector The eigenvalue 3 has an associated eigenvector

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The matrix
8
-10
A =
10
-2
-10
-7
has 1 = -2 as an eigenvalue with algebraic multiplicity 2, and 2 = 3 as an eigenvalue with algebraic multiplicity 1.
The eigenvalue -2 has an associated eigenvector
The eigenvalue 3 has an associated eigenvector
Transcribed Image Text:The matrix 8 -10 A = 10 -2 -10 -7 has 1 = -2 as an eigenvalue with algebraic multiplicity 2, and 2 = 3 as an eigenvalue with algebraic multiplicity 1. The eigenvalue -2 has an associated eigenvector The eigenvalue 3 has an associated eigenvector
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